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Note

This documents the development version of NetworkX. Documentation for the current release can be found here.

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networkx.algorithms.cuts.boundary_expansion

boundary_expansion(G, S)[source]

Returns the boundary expansion of the set S.

The boundary expansion is the quotient of the size of the node boundary and the cardinality of S. [1]

Parameters

  • G (NetworkX graph)

  • S (sequence) – A sequence of nodes in G.

Returns

The boundary expansion of the set S.

Return type

number

See also

edge_expansion(), mixing_expansion(), node_expansion()

References

1

Vadhan, Salil P. “Pseudorandomness.” Foundations and Trends in Theoretical Computer Science 7.1–3 (2011): 1–336. <https://doi.org/10.1561/0400000010>